Soliton solutions for the space-time nonlinear partial differential equations with fractional-orders
Sign Up to like & getrecommendations! Published in 2017 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2016.10.019
Abstract: Abstract Many practical models in interdisciplinary fields can be described with the help of fractional-order nonlinear partial differential equations(NPDEs). Fractional-order NPDEs such as the space-time fractional Fokas equation, the space-time Kaup–Kupershmidt equation and the space-time… read more here.
Keywords: space; partial differential; space time; nonlinear partial ... See more keywords
Nonlinear partial differential equations in neuroscience: from modelling to mathematical theory
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Models and Methods in Applied Sciences"
DOI: 10.1142/s0218202525400044
Abstract: Many systems of partial differential equations have been proposed as simplified representations of complex collective behaviours in large networks of neurons. In this survey, we briefly discuss their derivations and then review the mathematical methods… read more here.
Keywords: differential equations; equations neuroscience; nonlinear partial; neuroscience modelling ... See more keywords
Multiple solutions of nonlinear partial functional differential equations and systems
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2019.1.21
Abstract: We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations with certain nonlocal terms, further, systems of elliptic functional differential equations. We shall prove theorems on the number of… read more here.
Keywords: multiple solutions; functional differential; partial functional; nonlinear partial ... See more keywords
An accurate and novel numerical simulation with convergence analysis for nonlinear partial differential equations of Burgers–Fisher type arising in applied sciences
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2020-0040
Abstract: Abstract In this study, the second-order nonlinear partial differential equations of Burgers–Fisher type are considered under a unique formulation by introducing a novel highly accurate numerical method based on the Nörlund rational polynomial and matrix-collocation… read more here.
Keywords: equations burgers; fisher type; burgers fisher; nonlinear partial ... See more keywords
The study of solutions of several systems of the product type nonlinear partial differential difference equations
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DOI: 10.2306/scienceasia1513-1874.2024.032
Abstract: : The purpose of this article is to investigate the solutions of several systems of the nonlinear partial differential difference equations (PDDEs) (including second order partial differential, mixed partial differential and complex difference) read more here.
Keywords: solutions several; nonlinear partial; differential difference; difference ... See more keywords
Exact Solutions of Nonlinear Partial Differential Equations via the New Double Integral Transform Combined with Iterative Method
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DOI: 10.3390/axioms11060247
Abstract: This article demonstrates how the new Double Laplace–Sumudu transform (DLST) is successfully implemented in combination with the iterative method to obtain the exact solutions of nonlinear partial differential equations (NLPDEs) by considering specified conditions. The… read more here.
Keywords: solutions nonlinear; iterative method; exact solutions; method ... See more keywords
Entropic Aspects of Nonlinear Partial Differential Equations: Classical and Quantum Mechanical Perspectives
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DOI: 10.3390/e19040166
Abstract: There has been increasing research activity in recent years concerning the properties and the applications of nonlinear partial differential equations that are closely related to nonstandard entropic functionals, such as the Tsallis and Renyi entropies.[...] read more here.
Keywords: aspects nonlinear; partial differential; equations classical; nonlinear partial ... See more keywords
Combination of Two Powerful Methods for Solving Nonlinear Partial Differential Equations
Sign Up to like & getrecommendations! Published in 2020 at "European Journal of Mass Spectrometry"
DOI: 10.34198/ejms.3120.121138
Abstract: The idea of this work is to combine the homotopy analysis method with a new transform called “Shehu transform”. The goal is to try to take advantage of this transform to give a better speed… read more here.
Keywords: powerful methods; partial differential; combination two; nonlinear partial ... See more keywords
Uniqueness and Hyers–Ulam’s stability for a fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition
Sign Up to like & getrecommendations! Published in 2024 at "Canadian Journal of Mathematics"
DOI: 10.4153/s0008414x24000348
Abstract: Abstract Introducing a pair-parameter matrix Mittag–Leffler function, we study the uniqueness and Hyers–Ulam stability to a new fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition using Banach’s contractive principle as… read more here.
Keywords: hyers ulam; partial integro; nonlinear partial; ulam stability ... See more keywords